Question Find equations of horizontal and vertical lines through point $(-2,-8)$ .

Studdy Solution

STEP 1

Assumptions1. The point through which the lines pass is $(-,-8)$ . We need to find the equations for both the horizontal and vertical lines passing through this point

STEP 2

The equation of a horizontal line is of the form $y = k$ , where $k$ is a constant. The $y$ -coordinate of the point through which the line passes is the value of $k$ .

STEP 3

Plug in the $y$ -coordinate of the point into the equation for a horizontal line.
$y = -8$ This is the equation for the horizontal line passing through the point $(-2,-8)$ .

STEP 4

The equation of a vertical line is of the form $x = h$ , where $h$ is a constant. The $x$ -coordinate of the point through which the line passes is the value of $h$ .

STEP 5

Plug in the $x$ -coordinate of the point into the equation for a vertical line.
$x = -2$ This is the equation for the vertical line passing through the point $(-2,-8)$ .
The equations for the horizontal and vertical lines passing through the point $(-2,-8)$ are $y = -8$ and $x = -2$ , respectively.

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